Approximations of Extremal Eigenspace and Orthonormal Polar Factor
Abstract
This paper is concerned with two extremal problems from matrix analysis. One is about approximating the top eigenspaces of a Hermitian matrix and the other one about approximating the orthonormal polar factor of a general matrix. Tight error bounds on the quality of the approximations are obtained.
Fields of Study & Subjects
Matrix Theory and Algorithms
Numerical Methods and Algorithms
Statistical and numerical algorithms
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 8 January 2026
- Document type
- Preprint